Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

336×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	3
1	12	3
2	13	3
3	13	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) y) y)
0.0b	(+ (* x x) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x x) y) y)
5.0ms	(+ (* x x) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ (* x x) y) y)
19.0ms	(+ (* x x) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	136	138
1	511	127
2	1640	121
3	5001	120

prune52.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (+ y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+ (* x x) (+ y y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(+ (* x x) (+ y y))

simplify56.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	103	83
1	468	74
2	1756	74
3	5002	74

prune23.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) y)
0.0b	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
2.7b	(+ (- (* y y)) (pow x 4))
29.5b	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
14×	`add-cube-cbrt`
12×	`add-log-exp`
7×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`pow1` `associate-+l-` `associate-/r` `associate-/l`
3×	`neg-sub0` `flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `flip3--` `div-sub` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 81

Calls

4 calls:

4.0ms	(- (* x x) y)
17.0ms	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
6.0ms	(+ (- (* y y)) (pow x 4))
15.0ms	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

series267.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (* x x) y)
109.0ms	(+ (/ (+ (- (* y y)) (pow x 4)) (- (* x x) y)) y)
54.0ms	(+ (- (* y y)) (pow x 4))
83.0ms	(/ (+ (- (* y y)) (pow x 4)) (- (* x x) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	327	821
1	1478	742
2	5001	713

prune206.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes230.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample388.0ms

Algorithm

intervals

Results

204.0ms

10615×

body

valid